Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
A 45 foot ladder is placed against a house, reaching 27 feet up the wall. The ladder is then pulled ...
Pythagorean TheoremRight TrianglesWord ProblemApplications
2025/3/12
The problem involves vector algebra and geometry. It includes finding magnitudes of vectors, dot pr...
VectorsDot ProductMagnitudeScalar ComponentAngle between vectorsVector Algebra
2025/3/12
The problem asks for the straight-line distance from the starting point after driving 16 miles south...
Pythagorean TheoremDistanceRight Triangle
2025/3/12
The problem asks us to find the straight-line distance from the starting point after driving 12 mile...
Pythagorean TheoremDistanceRight TrianglesWord ProblemApproximation
2025/3/12
A 39-foot ladder is placed against a building. The bottom of the ladder is 33 feet away from the bas...
Pythagorean TheoremRight TrianglesWord ProblemApplications of Geometry
2025/3/12
Given two vectors $u = i + 3j + k$ and $v = 4i + 7j$, the problem is not clearly stated. I will assu...
VectorsCross ProductLinear Algebra3D Geometry
2025/3/12
The problem states that the diameter of a circle is 6 yards. We are asked to find the ratio of the a...
CircleAreaRatioRadiusDiameter
2025/3/11
We are given two problems involving triangles. Problem 1: In triangle $ABC$, we are given angle $C =...
TrianglesLaw of SinesTrigonometry
2025/3/11
We are given two triangle problems. 1) In triangle $ABC$, $C = 96.2^\circ$, $b = 11.2$ cm, and $c = ...
TrianglesLaw of SinesTrigonometryTriangle Solving
2025/3/11
The problem involves a triangle ABC, where angle A is $115^{\circ}$, side a (opposite to angle A) is...
TrigonometrySine RuleTrianglesAngle Calculation
2025/3/11